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Classical invariant theory and the equivalence problem for particle Lagrangians
Author(s):
Peter J.
Olver
Journal:
Bull. Amer. Math. Soc.
18
(1988),
21-26.
MSC (1985):
Primary 15A72, 49F05, 58A15
MathSciNet review:
919652
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Additional information
References:
- 1.
- É. Cartan, Les problèmes d'équivalence, Oeuvres Complètes, part II, Gauthier-Villars, Paris, 1952, pp. 1311-1334. MR 50516
- 2.
- É. Cartan, Sur un problème d'équivalence et la théorie des espaces métriques généralisés, Oeuvres Complètes, part III, Gauthier-Villars, Paris, 1955, pp. 1131-1153.
- 3.
- R. B. Gardner, Differential geometric methods interfacing control theory, Differential Geometric Control Theory (R. W. Brockett et al., eds., ), Birkhauser, Boston, 1983. MR 708501
- 4.
- R. B. Gardner, personal communication.
- 5.
- J. H. Grace and A. Young, The algebra of invariants, Cambridge Univ. Press, Cambridge, 1903.
- 6.
- G. B. Gurevich, Foundations of the theory of algebraic invariants, P. Noordhoff Ltd., Groningen, Holland, 1964. MR 183733
- 7.
- N. Kamran, P. J. Olver and W. F. Shadwick, work in progress.
- 8.
- J. P. S. Kung and G.-C. Rota, The invariant theory of binary forms, Bull. Amer. Math. Soc. (N.S.) 10 (1984), 27-85. MR 722856
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Additional Information:
DOI:
10.1090/S0273-0979-1988-15579-6
PII:
S 0273-0979(1988)15579-6
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